Hi @larakster and welcome to the forum.
You have an interesting project ![]()
225 gram is not too much, so you should be able to find a relatively small robotic arm.
You can see here which Robotic Arms RobotShop sells: https://eu.robotshop.com/collections/robotic-arms
For example, have a look at this one: WLkata 6-Axis Mini Robotic Arm Mirobot Professional Kit - RobotShop
It is relatively small, not so expensive, it has a controller and payload of 250 grams.
I hope this helps a little bit.