Use sources for integration tests

[vchuravy]

[github-actions[bot]]

Benchmark Results

	main	6e049d23caf2be...	main/6e049d23caf2be...
basics/overhead	4.34 ± 0.01 ns	4.34 ± 0.011 ns	1
time_to_load	1.36 ± 0.02 s	1.4 ± 0.048 s	0.968

Benchmark Plots

A plot of the benchmark results has been uploaded as an artifact at https://github.com/EnzymeAD/Enzyme.jl/actions/runs/15048727957/artifacts/3132419804.

[vchuravy]

Set's up the integration tests such that https://github.com/EnzymeAD/Enzyme.jl/pull/2309#issuecomment-2868907605 is not an issue, but highlights an issue with Bijectors and 1.11

[vchuravy]

cc: @mhauru