Reproduction steps:
1. Open the attached “repro_IN-86181“ project
2. Open the “Assets/Scenes/SampleScene.unity“ Scene
3. In the Hierarchy, select the "Canvas -> Text (TMP)" GameObject
4. In the Inspector, in the "Localize String Event" Component, expand the "String Reference" dropdown
5. Open the "Localization Tables" window ("Window -> Asset Management -> Localization Tables")
6. Change the "Key" value of the last entry
7.  In the Inspector, in the "Localize String Event" Component, observe the values of the "String Reference" dropdown

Expected result: The values of the "Entry Name" and the "String Reference" parameters are changed accordingly to the new value of the latest entry in the "Localization Tables" window
Actual result: The value of the "Entry Name" parameter is changed accordingly to the new value of the latest entry in the "Localization Tables" window, but the value of the "String Reference" parameter is not, as it keeps the value of the previous entry

Reproducible with: 1.1.0 (2021.3.44f1), 1.5.3 (2021.3.44f1, 2022.3.50f1, 6000.0.23f1)
Couldn't test with: 1.0.5 (2021.3.44f1) - Not possible to test due to the "Localization Tables" window not being implemented yet

Reproducible on: Windows 10 (22H2), Windows 11 (10.0.22635)
Not reproducible on: No other environments tested

Notes:

• After creating a new entry in the “Localization Tables“ and assigning it to the “String Reference” parameter, the first “Key“ change is reflected, but no subsequent “Key“ changes are shown in the “String Reference” parameter
• Make sure to expand the "String Reference" dropdown before changing the key in the "Localization Tables" window