Thanks, that did the trick. I used crystal build src/main.cr --mcpu=znver3 --cross-compile, uploaded the generated object and linked the object inside the VPS using the command that crystal build src/main.cr --mcpu=znver3 --cross-compile outputs (cc main.o -o main -rdynamic ...)
crystal build src/main.cr --release --no-debug --mcpu=x86-64-v3 --cross-compile also works well. Thank you <3