Where does “piwiarnia” come from?

piwiarnia (Polish) comes from Polish -arnia, from Polish -arz, from Old Polish -arz, from Proto-Slavic -ařь, from Gothic -𐌰𐍂𐌴𐌹𐍃, from Proto-Germanic -ārijaz, from Latin -ārius, from Proto-Italic *-āzios — Forms relational adjectives to nouns (and rarely numerals).

piwiarnia (Polish): alehouse, beer parlour, pub, bar

Definitions

alehouse, beer parlour, pub, bar

Ancestry of “piwiarnia”, step by step

Step	Language	Word	Meaning
1	Polish	-arnia	forms names of designated rooms or shops
2	Polish	-arz	-er
3	Old Polish	-arz	forms agent nouns
4	Proto-Slavic	-ařь	-er
5	Gothic	-𐌰𐍂𐌴𐌹𐍃	-er
6	Proto-Germanic	-ārijaz	-er
7	Latin	-ārius	er
8	Proto-Italic	*-āzios	Forms relational adjectives to nouns (and rarely numerals)

Every word from Proto-Italic *-āzios →Every word from Latin -ārius →Every word from Polish -arz →