Cherry pick #63426 to 23.8: Fix backup/restore of projection part in case projection was removed from table metadata, but part still has projection

[robot-clickhouse-ci-1]

Original pull-request #63426

This pull-request is a first step of an automated backporting.
It contains changes similar to calling git cherry-pick locally.
If you intend to continue backporting the changes, then resolve all conflicts if any.
Otherwise, if you do not want to backport them, then just close this pull-request.

The check results does not matter at this step - you can safely ignore them.

Note

This pull-request will be merged automatically. Please, do not merge it manually (but if you accidentally did, nothing bad will happen).

Troubleshooting

If the PR was manually reopened after being closed

If this PR is stuck (i.e. not automatically merged after one day), check #63426 for pr-backports-created label and delete it.

Manually merging will do nothing. The pr-backports-created label prevents the original PR #63426 from being processed.

If the conflicts were resolved in a wrong way

If this cherry-pick PR is completely screwed by a wrong conflicts resolution, and you want to recreate it:

• delete the pr-cherrypick label from the PR
• delete this branch from the repository

You also need to check the original PR #63426 for pr-backports-created, and delete if it's presented there

[robot-ch-test-poll4]

Dear @kssenii, @SmitaRKulkarni, the PR is not updated for 1d24h59m3s. Please, either resolve the conflicts, or close it to finish the backport process of #63426

[robot-ch-test-poll3]

Dear @kssenii, @SmitaRKulkarni, the PR is not updated for 1d24h7m28s. Please, either resolve the conflicts, or close it to finish the backport process of #63426

[robot-clickhouse]

Dear @kssenii, @SmitaRKulkarni, the PR is not updated for 1d24h53m26s. Please, either resolve the conflicts, or close it to finish the backport process of #63426

[robot-clickhouse-ci-1]

Dear @kssenii, @SmitaRKulkarni, the PR is not updated for 1d24h58m53s. Please, either resolve the conflicts, or close it to finish the backport process of #63426

[robot-clickhouse-ci-1]

Dear @kssenii, @SmitaRKulkarni, the PR is not updated for 1d25h1m28s. Please, either resolve the conflicts, or close it to finish the backport process of #63426

[robot-clickhouse-ci-1]

Dear @kssenii, @SmitaRKulkarni, the PR is not updated for 1d24h1m4s. Please, either resolve the conflicts, or close it to finish the backport process of #63426

[robot-ch-test-poll1]

Dear @kssenii, @SmitaRKulkarni, the PR is not updated for 1d24h59m38s. Please, either resolve the conflicts, or close it to finish the backport process of #63426

[robot-ch-test-poll4]

Dear @kssenii, @SmitaRKulkarni, the PR is not updated for 1d24h58m38s. Please, either resolve the conflicts, or close it to finish the backport process of #63426

[robot-clickhouse-ci-2]

Dear @kssenii, @SmitaRKulkarni, the PR is not updated for 1d24h1m47s. Please, either resolve the conflicts, or close it to finish the backport process of #63426

[robot-ch-test-poll2]

Dear @kssenii, @SmitaRKulkarni, the PR is not updated for 1d24h59m44s. Please, either resolve the conflicts, or close it to finish the backport process of #63426