feat: push to eicweb during build, ghcr at end

This should reduce the pressure on ghcr (not like they can't take it...).

assigned to @wdconinc

added 3 commits

• 2c81eae4...1f23bd64 - 2 commits from branch master
• 310d26da - feat: push to eicweb during build, ghcr at end

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merged