I challenge you to find deodorant for under $10 on Amazon.
These are about $10 in a bodega or cvs in Manhattan.
[0] Dove Men+Care Antiperspirant Deodorant With 72-hour sweat and odor protection Extra Fresh Antiperspirant for men formulated with vitamin E and Triple Action Moisturizer | 2.7 Ounce (Pack of 4) https://a.co/d/dR2J1B0
Do you live in a microhome? Deodorant sticks are tiny, surely you can store 3 of them under your sink for months without too much suffering.
Never noticed any problems with them.
Mine is 2 years
Or one stick for £3.