blame pagination breaks rev (branch/tag) switcher

Summary

Blame cannot be continued on switching rev (branch/tag) after blame_page_pagination (probably !85827 (merged) and/or #360927 (closed), #225174 (closed)).

Steps to reproduce

1. Visit https://gitlab.com/gitlab-org/gitlab/-/blob/a873c0f94be51659ddc3ac90ab1a00fc0b4dead9/VERSION
2. Click the blame icon to move to https://gitlab.com/gitlab-org/gitlab/-/blame/39a53802a62fb48642653d7d81c5e23c4215d18c/VERSION?page=1 (with page=1)
3. Select any branch from switch branch/tag to see that the error message "VERSION?page=1" did not exist on "some-branch-you-selected" is shown on top and that blame stops.

What is the current bug behavior?

1. The error message "VERSION?page=1" did not exist on "some-branch-you-selected" is shown on top. (suppose that you select the branch some-branch-you-selected)
2. A user is redirected to https://gitlab.com/gitlab-org/gitlab/-/tree/some-branch-you-selected. (suppose that you select the branch some-branch-you-selected)

This bug looks intrinsic and so has happened when an URLs is modified. For example, just switching the branch/tag starting from https://gitlab.com/gitlab-org/gitlab/-/blob/master/VERSION?page=1, you can run into the same error.

What is the expected correct behavior?

https://gitlab.com/gitlab-org/gitlab/-/blob/some-branch-you-selected/VERSION should be rendered without any error message. (suppose that you select the branch some-branch-you-selected)

Relevant logs and/or screenshots

Output of checks

This bug happens on GitLab.com (15.3-pre).