Rubber tip on the brake rod

yes you do need it, it retains the pushrod!

dr. diff has em

edit to add links:

https://www.doctordiff.com/manual-brake-push-rod-retainer-bushing-clip-rubber-grommet.html
https://www.summitracing.com/parts/...CGteFYq4WJ_GSrQjWgAjDN0XVbMcYkbFz029ilOLyle54
https://mckellars-modified-rides.myshopify.com/products/manual-brake-push-rod-retainer