[CI] Use pip to install crossbow's dependencies for the comment bot

[asfimport]

setup-conda action is no longer enabled on github actions, so use an alternative way to install archery bot.

Reporter: Krisztian Szucs / @kszucs
Assignee: Krisztian Szucs / @kszucs

PRs and other links:

• GitHub Pull Request #9103

_{Note: This issue was originally created as ARROW-11132. Please see the migration documentation for further details.}

[asfimport]

Krisztian Szucs / @kszucs:
Issue resolved by pull request 9103
#9103