fix: Stale connections after task processor errors

[khvn26]

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Changes

This fixes a problem surfaced in one of the on-prem environments when task processor wouldn't recover during database failover.

How did you test this code?

Manually in the on-prem environment where the problem was reproduced.

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Codecov Report

All modified and coverable lines are covered by tests :white_check_mark:

Project coverage is 96.50%. Comparing base (b7c4f5f) to head (58746e0). Report is 6 commits behind head on main.

Additional details and impacted files

```diff @@ Coverage Diff @@ ## main #4179 +/- ## ========================================== - Coverage 96.50% 96.50% -0.01% ========================================== Files 1177 1177 Lines 38217 38215 -2 ========================================== - Hits 36883 36881 -2 Misses 1334 1334 ```

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