I've seen alot of projects did so well during the bull market, but now I'm wondering is bear market will affect the progress of a new project...
I don't know about your project as well as I have yet researched about it.
In general, bear market is toughest time as investors have their net-loss and their mentality can be very weak, sensitive and stressful. With such negative conditions, they are less likely or nearly impossible to think of investing more. Maybe many of them no longer have capital to use for investment in new projects. With those people, you can not attract them to join your new project.
Bear market is for builders and we have some lessons that a good team can build up good projects in bear market that will gain great success in a next bull market. A most classic lesson from 2020 bull run is Axie Infinity.