diff --git a/CHANGELOG.md b/CHANGELOG.md
index 63a2e1ce..2e88d5b7 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -57,11 +57,26 @@ In this release, the schema version has changed from 23 to 24.
   To rollback this change, remove the new object `log`, set back `log_` and
   `verbose` properties and change the `schema_version` back to `23`.
 
+### Deprecated
+
+- Default exposure of the non-standard ports 784 and 8853 for DNS-over-QUIC in
+  the `Dockerfile`.
+
 ### Fixed
 
 - Excessive RAM and CPU consumption by Safe Browsing and Parental Control
   filters ([#5896]).
 
+### Removed
+
+- The `HEALTHCHECK` section and the use of `tini` in the `ENTRYPOINT` section in
+  `Dockerfile` ([#5939]).  They caused a lot of issues, especially with tools
+  like `docker-compose` and `podman`.
+
+  **NOTE:** Some Docker tools may cache `ENTRYPOINT` sections, so some users may
+  be required to backup their configuration, stop the container, purge the old
+  image, and reload it from scratch.
+
 [#5896]: https://github.com/AdguardTeam/AdGuardHome/issues/5896
 
 <!--
@@ -188,9 +203,9 @@ In this release, the schema version has changed from 20 to 23.
 
 ### Deprecated
 
-- `HEALTHCHECK` and `ENTRYPOINT` sections in `Dockerfile` ([#5939]).  They cause
-  a lot of issues, especially with tools like `docker-compose` and `podman`, and
-  will be removed in a future release.
+- The `HEALTHCHECK` section and the use of `tini` in the `ENTRYPOINT` section in
+  `Dockerfile` ([#5939]).  They cause a lot of issues, especially with tools
+  like `docker-compose` and `podman`, and will be removed in a future release.
 - Flags `-h`, `--host`, `-p`, `--port` have been deprecated.  The `-h` flag
   will work as an alias for `--help`, instead of the deprecated `--host` in the
   future releases.
diff --git a/docker/Dockerfile b/docker/Dockerfile
index 6424faf7..2689a86c 100644
--- a/docker/Dockerfile
+++ b/docker/Dockerfile
@@ -1,6 +1,6 @@
 # A docker file for scripts/make/build-docker.sh.
 
-FROM alpine:3.17
+FROM alpine:3.18
 
 ARG BUILD_DATE
 ARG VERSION
@@ -25,8 +25,6 @@ RUN apk --no-cache add ca-certificates libcap tzdata && \
 	mkdir -p /opt/adguardhome/conf /opt/adguardhome/work && \
 	chown -R nobody: /opt/adguardhome
 
-RUN apk --no-cache add tini
-
 ARG DIST_DIR
 ARG TARGETARCH
 ARG TARGETOS
@@ -43,43 +41,24 @@ RUN setcap 'cap_net_bind_service=+eip' /opt/adguardhome/AdGuardHome
 # 68     :      UDP : DHCP (client)
 # 80     : TCP      : HTTP (main)
 # 443    : TCP, UDP : HTTPS, DNS-over-HTTPS (incl. HTTP/3), DNSCrypt (main)
-# 784    :      UDP : DNS-over-QUIC (experimental)
+# 784    :      UDP : DNS-over-QUIC (deprecated; use 853)
 # 853    : TCP, UDP : DNS-over-TLS, DNS-over-QUIC
 # 3000   : TCP, UDP : HTTP(S) (alt, incl. HTTP/3)
-# 3001   : TCP, UDP : HTTP(S) (beta, incl. HTTP/3)
 # 5443   : TCP, UDP : DNSCrypt (alt)
 # 6060   : TCP      : HTTP (pprof)
-# 8853   :      UDP : DNS-over-QUIC (experimental)
+# 8853   :      UDP : DNS-over-QUIC (deprecated; use 853)
 #
 # TODO(a.garipov): Remove the old, non-standard 784 and 8853 ports for
 # DNS-over-QUIC in a future release.
 EXPOSE 53/tcp 53/udp 67/udp 68/udp 80/tcp 443/tcp 443/udp 784/udp\
-	853/tcp 853/udp 3000/tcp 3000/udp 5443/tcp\
-	5443/udp 6060/tcp 8853/udp
+	853/tcp 853/udp 3000/tcp 3000/udp 5443/tcp 5443/udp 6060/tcp\
+	8853/udp
 
 WORKDIR /opt/adguardhome/work
 
-# Install helpers for healthcheck.
-COPY --chown=nobody:nogroup\
-	./${DIST_DIR}/docker/scripts\
-	/opt/adguardhome/scripts
-
-HEALTHCHECK \
-	--interval=30s \
-	--timeout=10s \
-	--retries=3 \
-	CMD [ "/opt/adguardhome/scripts/healthcheck.sh" ]
-
-# It seems that the healthckech script sometimes spawns zombie processes, so we
-# need a way to handle them, since AdGuard Home doesn't know how to keep track
-# of the processes delegated to it by the OS.  Use tini as entry point because
-# it needs the PID=1 to be the default parent for orphaned processes.
-#
-# See https://github.com/adguardTeam/adGuardHome/issues/3290.
-ENTRYPOINT [ "/sbin/tini", "--" ]
+ENTRYPOINT ["/opt/adguardhome/AdGuardHome"]
 
 CMD [ \
-	"/opt/adguardhome/AdGuardHome", \
 	"--no-check-update", \
 	"-c", "/opt/adguardhome/conf/AdGuardHome.yaml", \
 	"-w", "/opt/adguardhome/work" \
diff --git a/docker/dns-bind.awk b/docker/dns-bind.awk
deleted file mode 100644
index abb5747c..00000000
--- a/docker/dns-bind.awk
+++ /dev/null
@@ -1,29 +0,0 @@
-/^[^[:space:]]/ { is_dns = /^dns:/ }
-
-/^[[:space:]]+bind_hosts:/ { if (is_dns) prev_line = FNR }
-
-/^[[:space:]]+- .+/ {
-    if (FNR - prev_line == 1) {
-        addrs[$2] = true
-        prev_line = FNR
-
-        if ($2 == "0.0.0.0" || $2 == "'::'") {
-            # Drop all the other addresses.
-            delete addrs
-            addrs[""] = true
-            prev_line = -1
-        }
-    }
-}
-
-/^[[:space:]]+port:/ { if (is_dns) port = $2 }
-
-END {
-    for (addr in addrs) {
-        if (match(addr, ":")) {
-            print "[" addr "]:" port
-        } else {
-            print addr ":" port
-        }
-    }
-}
diff --git a/docker/healthcheck.sh b/docker/healthcheck.sh
deleted file mode 100755
index a50de230..00000000
--- a/docker/healthcheck.sh
+++ /dev/null
@@ -1,107 +0,0 @@
-#!/bin/sh
-
-# AdGuard Home Docker healthcheck script
-
-# Exit the script if a pipeline fails (-e), prevent accidental filename
-# expansion (-f), and consider undefined variables as errors (-u).
-set -e -f -u
-
-# Function error_exit is an echo wrapper that writes to stderr and stops the
-# script execution with code 1.
-error_exit() {
-	echo "$1" 1>&2
-
-	exit 1
-}
-
-agh_dir="/opt/adguardhome"
-readonly agh_dir
-
-filename="${agh_dir}/conf/AdGuardHome.yaml"
-readonly filename
-
-if ! [ -f "$filename" ]
-then
-    wget "http://127.0.0.1:3000" -O /dev/null -q || exit 1
-
-    exit 0
-fi
-
-help_dir="${agh_dir}/scripts"
-readonly help_dir
-
-# Parse web host
-
-web_url="$( awk -f "${help_dir}/web-bind.awk" "$filename" )"
-readonly web_url
-
-if [ "$web_url" = '' ]
-then
-    error_exit "no web bindings could be retrieved from $filename"
-fi
-
-# TODO(e.burkov):  Deal with 0 port.
-case "$web_url"
-in
-(*':0')
-    error_exit '0 in web port is not supported by healthcheck'
-    ;;
-(*)
-    # Go on.
-    ;;
-esac
-
-# Parse DNS hosts
-
-dns_hosts="$( awk -f "${help_dir}/dns-bind.awk" "$filename" )"
-readonly dns_hosts
-
-if [ "$dns_hosts" = '' ]
-then
-    error_exit "no DNS bindings could be retrieved from $filename"
-fi
-
-first_dns="$( echo "$dns_hosts" | head -n 1 )"
-readonly first_dns
-
-# TODO(e.burkov):  Deal with 0 port.
-case "$first_dns"
-in
-(*':0')
-    error_exit '0 in DNS port is not supported by healthcheck'
-    ;;
-(*)
-    # Go on.
-    ;;
-esac
-
-# Check
-
-# Skip SSL certificate validation since there is no guarantee the container
-# trusts the one used.  It should be safe to drop the SSL validation since the
-# current script intended to be used from inside the container and only checks
-# the endpoint availability, ignoring the content of the response.
-#
-# See https://github.com/AdguardTeam/AdGuardHome/issues/5642.
-wget --no-check-certificate "$web_url" -O /dev/null -q || exit 1
-
-test_fqdn="healthcheck.adguardhome.test."
-readonly test_fqdn
-
-# The awk script currently returns only port prefixed with colon in case of
-# unspecified address.
-case "$first_dns"
-in
-(':'*)
-    nslookup -type=a "$test_fqdn" "127.0.0.1${first_dns}" > /dev/null ||\
-    nslookup -type=a "$test_fqdn" "[::1]${first_dns}" > /dev/null ||\
-        error_exit "nslookup failed for $host"
-    ;;
-(*)
-    echo "$dns_hosts" | while read -r host
-    do
-        nslookup -type=a "$test_fqdn" "$host" > /dev/null ||\
-            error_exit "nslookup failed for $host"
-    done
-    ;;
-esac
diff --git a/docker/web-bind.awk b/docker/web-bind.awk
deleted file mode 100644
index 2ae64a4c..00000000
--- a/docker/web-bind.awk
+++ /dev/null
@@ -1,5 +0,0 @@
-# Don't consider the HTTPS hostname since the enforced HTTPS redirection should
-# work if the SSL check skipped.  See file docker/healthcheck.sh.
-/^[^[:space:]]/ { is_http = /^http:/ }
-
-/^[[:space:]]+address:/ { if (is_http) print "http://" $2 }
diff --git a/scripts/make/build-docker.sh b/scripts/make/build-docker.sh
index 971017a2..ffdfb228 100644
--- a/scripts/make/build-docker.sh
+++ b/scripts/make/build-docker.sh
@@ -107,18 +107,6 @@ cp "${dist_dir}/AdGuardHome_linux_arm_7/AdGuardHome/AdGuardHome"\
 cp "${dist_dir}/AdGuardHome_linux_ppc64le/AdGuardHome/AdGuardHome"\
 	"${dist_docker}/AdGuardHome_linux_ppc64le_"
 
-# Copy the helper scripts.  See file docker/Dockerfile.
-dist_docker_scripts="${dist_docker}/scripts"
-readonly dist_docker_scripts
-
-mkdir -p "$dist_docker_scripts"
-cp "./docker/dns-bind.awk"\
-	"${dist_docker_scripts}/dns-bind.awk"
-cp "./docker/web-bind.awk"\
-	"${dist_docker_scripts}/web-bind.awk"
-cp "./docker/healthcheck.sh"\
-	"${dist_docker_scripts}/healthcheck.sh"
-
 # Don't use quotes with $docker_version_tag and $docker_channel_tag, because we
 # want word splitting and or an empty space if tags are empty.
 #