CLN: Remove compat.re_type

[topper-123]

• xref CLN: remove PY2 #25725 and Fix type annotation in pandas.compat #26252

This removes compat.re_type from the code base.

[codecov]

Codecov Report

Merging #26279 into master will decrease coverage by 51.26%.
The diff coverage is 100%.

@@             Coverage Diff             @@
##           master   #26279       +/-   ##
===========================================
- Coverage   91.98%   40.72%   -51.27%     
===========================================
  Files         175      175               
  Lines       52379    52377        -2     
===========================================
- Hits        48183    21329    -26854     
- Misses       4196    31048    +26852

Flag	Coverage Δ
#multiple	?
#single	40.72% <100%> (-0.16%)	⬇️

Impacted Files	Coverage Δ
pandas/compat/__init__.py	81.08% <ø> (-13.8%)	⬇️
pandas/core/dtypes/inference.py	83.6% <100%> (-16.4%)	⬇️
pandas/io/formats/latex.py	0% <0%> (-100%)	⬇️
pandas/io/sas/sas_constants.py	0% <0%> (-100%)	⬇️
pandas/core/groupby/categorical.py	0% <0%> (-100%)	⬇️
pandas/tseries/plotting.py	0% <0%> (-100%)	⬇️
pandas/tseries/converter.py	0% <0%> (-100%)	⬇️
pandas/io/formats/html.py	0% <0%> (-99.37%)	⬇️
pandas/io/sas/sas7bdat.py	0% <0%> (-91.16%)	⬇️
pandas/io/sas/sas_xport.py	0% <0%> (-90.1%)	⬇️
... and 132 more

---

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[codecov]

Codecov Report

Merging #26279 into master will decrease coverage by <.01%.
The diff coverage is 100%.

@@            Coverage Diff             @@
##           master   #26279      +/-   ##
==========================================
- Coverage   91.98%   91.98%   -0.01%     
==========================================
  Files         175      175              
  Lines       52379    52377       -2     
==========================================
- Hits        48183    48178       -5     
- Misses       4196     4199       +3

Flag	Coverage Δ
#multiple	90.53% <100%> (-0.01%)	⬇️
#single	40.72% <100%> (-0.16%)	⬇️

Impacted Files	Coverage Δ
pandas/compat/__init__.py	94.59% <ø> (-0.28%)	⬇️
pandas/core/dtypes/inference.py	100% <100%> (ø)	⬆️
pandas/io/gbq.py	78.94% <0%> (-10.53%)	⬇️
pandas/core/frame.py	96.9% <0%> (-0.12%)	⬇️
pandas/util/testing.py	90.71% <0%> (+0.1%)	⬆️

---

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Δ = absolute <relative> (impact), ø = not affected, ? = missing data
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[gfyoung]

Thanks @topper-123 !