Send output to file or to GITHUB_OUTPUT

**Context**

Some form of automatic or semi-automatic error filtering is necessary.

**Suggested solution**

Save build log output to a file or to GITHUB_OUTPUT, so the following step can look for common errors or match regexes against expected outputs.

**Considered alternatives**

All alternatives are manual and tedious. Logs are often very large and require manual download and searching.

**Additional details**

Some well known messages could be reported as errors using github api.