If it was me I’d definitely try to remove the old paint first, painting over it is gonna come out bad imo. Maybe something like this or similar product in Canada? If you strip it don’t forget primer before painting!
https://www.lowes.com/pd/CitriStrip-32-fl-oz-Regular-Multi-surface-Paint-Stripper-Gel-Removes-Latex-Paint-Oil-based-Paint-Varnish-Lacquer-Polyurethane-Shellac/5003322011?cm_mmc=shp-_-c-_-prd-_-pnt-_-ggl-_-LIA_PNT_133_TS-Sanding-Sundries-Surface-Buckets-_-5003322011-_-local-_-0-_-0&gad_source=1&gbraid=0AAAAAD2B2W_L9WwuO4Keu_M1fIf5RsY_j&gclid=EAIaIQobChMI2uTx9eChhQMVZEhHAR3Z8AvoEAQYAiABEgItbPD_BwE&gclsrc=aw.ds