9.5 month old having emotional outbursts/ tantrums?

Okay so let me start out by saying I know that my baby can’t express herself and I know the following examples is normal. I am looking for ways to help her cope and support her. I want to ensure I’m not encouraging the behavior but also keeping in mind she’s still little and allowing us both to have some grace. I will provide an example.

We were doing our bedtime routine and I had to take a toy away because she kept trying to drink soapy water from it. She immediately started screaming and crying and threw her head back and hit her head on the back of the bathtub. I didn’t want to just give the same toy back because of my initial reason for taking it away. So I decided the bath was no longer safe and took her out. I was unable to really do any of her night routine because she was still really upset and crying and throwing her body around and I was worried she was going to hurt herself. I offered to breast feed her which calmed her down after a few minutes and she eventually settled and fell asleep. I think she must have been tired and is teething. And she was possibly just hungry and had an unmet need.

In this example, I was able to support her by meeting her needs (feeding her and helping her sleep). My question is, if all of their needs are met, fed, changed, etc and they are still losing it when you’re removed the object or whatever it is that you did to upset them, what is next? For example, she also has similar outbursts when I’m trying to change her diaper and I know she’s not hungry or anything like that. Up until this point I’ve always tried to distract with something such as a noisy toy or something interesting to make her happy again and stop the crying but now that she’s getting a bit older I am wondering if I should instead be trying to support her through those big emotions instead of just trying for an immediate distraction. For example, with the diaper change, it has to get done so I will try to do it quickly and calmly and then after when she’s upset, I will sit with her and let her know I’m there and she’s safe, let her feel her feelings, and then I kind of just start playing with some of her toys or looking at a book and sometimes she just comes out of it herself and will start showing an interest in whatever I’m doing. This seems to work better than trying to hold her and talk to her through it because when I try that, it seems to make it worse. Would this be an appropriate response?

Maybe she’s too young and I’m overthinking this? I’ve tried looking up resources for infancy and big emotions and I’ve read a lot about co regulation but a lot of resources are targeted towards toddlers versus infants.

I’d really appreciate learning how other people manage these situations! This is my first baby and I am open to feedback and learning.

Thank you!