Or search: foster, nurture, sponsor, interact, cosponsor, patronage, patronise, condescend
3 Syllables: SUU
agonized, analyse, analyze, Apennines, canonized, classifies, dramatize, maximize, naturalized, patronised, patronized, stabilize
4 Syllables: USUU
antagonize

Found 13 words across 2 groupings. Skipped 3 excess words of a similar stem.