[Due for payment 2025-09-02] [$1750] Use react-native-reanimated in CENTERED Modals

[mountiny]

Part off #64775

Update the CENTERED modal type to use react-native-reanimated under the hood.

Issue Owner

Current Issue Owner: @jliexpensify

[melvin-bot]

Triggered auto assignment to @jliexpensify (Bug), see https://stackoverflow.com/c/expensify/questions/14418 for more details. Please add this bug to a GH project, as outlined in the SO.

[mountiny]

@jmusial will work on these

[jmusial]

Tracking of types / PRS comment for CENTERED modals:

• FutureTrainingModal - Migrate Quickbooks and Xero flow modals to use Reanimated modal #65172
• ConnectToQuickBooks - Migrate Quickbooks and Xero flow modals to use Reanimated modal #65172
• ConnectToXeroFlow - Migrate Quickbooks and Xero flow modals to use Reanimated modal #65172
• SearchRouterModal - Use ReanimatedModal in Search Router Modal #65250
• CardAuthenticationModal - Reanimated modal for CardAuthenticationModal #65668
• ComparePlansModal - Migrate ComparePlansModal  #66868
• AttachmentModalContainer - Migrate AttachmentModalContainer to use the Reanimated modal #67480 <- cannot publish, new pr - Feat/migrate attachment modal container #68343
• AttachmentModal - Assuming we do not need to worry about this one bc [HOLD on #69523] Migrate remaining AttachmentModal usages #65245 -The modals will get switched to use reanimated one anyways. - Centered modals migration cleanup #68729
• Cleanup - Centered modals migration cleanup #68729
• bump reanimated - [No QA] Chore/bump react native reanimated to 3.19.0 #67164