$ cat Dockerfile
FROM alpine:latest
RUN apk add perl
RUN wget -qO- https://raw.githubusercontent.com/latex3/latex3/main/support/texlive.sh | sh

$ docker build -t test .
Sending build context to Docker daemon  290.3kB
Step 1/3 : FROM alpine:latest
 ---> 6dbb9cc54074
Step 2/3 : RUN apk add perl
 ---> Using cache
 ---> 759f445e9455
Step 3/3 : RUN wget -qO- https://raw.githubusercontent.com/latex3/latex3/main/support/texlive.sh | sh
 ---> Running in f3ee53c5f8a6
Connecting to mirror.ctan.org (5.35.249.60:443)
Connecting to ftp.fau.de (131.188.12.211:443)
saving to 'install-tl-unx.tar.gz'
install-tl-unx.tar.g 100% |********************************| 6649k  0:00:00 ETA
'install-tl-unx.tar.gz' saved
Profile  not readable or not a file, continuing in interactive mode.
query_ctan_mirror: Programs not set up, trying wget
Loading http://www.ctan.org/tex-archive/systems/texlive/tlnet/tlpkg/texlive.tlpdb
cannot contact mirror.ctan.org, returning a backbone server!

./install-tl: TLPDB::from_file could not initialize from: http://www.ctan.org/tex-archive/systems/texlive/tlnet/tlpkg/texlive.tlpdb
./install-tl: Maybe the repository setting should be changed.
./install-tl: More info: https://tug.org/texlive/acquire.html