I don't think PATH affects search for .so files

# PATH PATH="/usr/local/Cellar/libxml2/2.9.10_2/bin:$PATH" export PATH

It's been a long while since I've had to deal with something like this but you might try LD_LIBRARY_PATH. Assuming libxml2.so.2 is located in /usr/local/Cellar/libxml2/2.9.10_2/bin, you could try

LD_LIBRARY_PATH=/usr/local/Cellar/libxml2/2.9.10_2/bin cpanm XML::LibX +ML

In reply to Re:XML::LibXML fails install on macOS Big Sur by wazat
in thread XML::LibXML fails install on macOS Big Sur by redsox43

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