Rollup merge of #128430 - Zalathar:print-pat, r=Nadrieril

Use a separate pattern type for `rustc_pattern_analysis` diagnostics

The pattern-analysis code needs to print patterns, as part of its user-visible diagnostics. But it never actually tries to print "real" patterns! Instead, it only ever prints synthetic patterns that it has reconstructed from its own internal represenations.

We can therefore simultaneously remove two obstacles to changing `thir::Pat`, by having the pattern-analysis code use its own dedicated type for building printable patterns, and then making `thir::Pat` not printable at all.

r? `@Nadrieril`

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