Prepare update for Turing v0.35

[penelopeysm]

TODO (in this order)

• Release Turing 0.35.0 we're at 0.35.2 now
• Bump min Julia version on intro page
• Verify that changelog is updated (Can't do this until it's merged)
• Replace Tracker with Mooncake in Bayesian neural networks example #521
• Get rid of any other mention of Tracker, add Mooncake where necessary
• Port Re-enable numerical asserts since CI now uses Quarto 1.6 #539

[penelopeysm]

Since 1.11 support is so hard (#560), I don't wonder if we could just stick to 1.10 for now.