Selfhosted

For loops with find are evil for a lot of reasons, one of which is spaces:

$ tree
.
├── arent good with find loops
│   ├── a
│   └── innerdira
│       └── docker-compose.yml
└── dirs with spaces
    ├── b
    └── innerdirb
        └── docker-compose.yml

3 directories, 2 files
$ for y in $(find .); do echo $y; done
.
./are
t good with fi
d loops
./are
t good with fi
d loops/i

erdira
./are
t good with fi
d loops/i

erdira/docker-compose.yml
./are
t good with fi
d loops/a
./dirs with spaces
./dirs with spaces/i

erdirb
./dirs with spaces/i

erdirb/docker-compose.yml
./dirs with spaces/b

You can kinda fix that with IFS (this breaks if newlines are in the filename which would probably only happen in a malicious context):

$ OIFS=$IFS
$ IFS=$'\n'
$ for y in $(find .); do echo "$y"; done
.
./arent good with find loops
./arent good with find loops/innerdira
./arent good with find loops/innerdira/docker-compose.yml
./arent good with find loops/a
./dirs with spaces
./dirs with spaces/innerdirb
./dirs with spaces/innerdirb/docker-compose.yml
./dirs with spaces/b
$ IFS=$OIFS

But you can also use something like:

find . -name 'docker-compose.yml' -printf '%h\0' | while read -r -d $'\0' dir; do
      ....
done

or in your case this could all be done from find alone:

find . -name 'docker-compose.yml' -execdir ...

-execdir in this case is basically replacing your cd $(dirname $y), which is also brittle when it comes to spaces and should be quoted: cd "$(dirname "$y")".