There is a way to remove the 30fps lock in L.A. Noire, confirmed to work in Windows 11 26H2 on an Nvidia 5070Ti@16GB VRAM with latest Game Ready Drivers.
I have found via PCGaming Wiki that the version from the EA Storefront is actually the one this is the worst of the bunch, hence there is a patch to bring the EA version to the GOG version containing all the fixes the GOG team applied to their version of the game. Out of the 3 versions offered of the patch, the fallback version worked for me.
If you are using G-Sync/FreeSync, you might want to manually disable V-Sync of the game as by default it is enabled.
You might also want to download and apply the Controller Remapping Fix and activate the pre-order bonus.
Last but not least, restore the cut content by applying the GlobalMod.