Hello and welcome to BW!
Given that she is really quite little, we often just suggest you follow a basic EAS pattern and don't worry too much about the details
1. I would offer if she is awake and it has been 3 hrs. If she is sleeping, leave her be. She will wake if she is hungry.
2. I would play with her until the next feed time, unless she is showing hunger signs sooner - then go ahead and feed. When they are this little, feeding on demand is important too.
3. I did exactly what you are doing at night... no clustering, no dreamfeed. I fed her and put her to bed, fed when she woke. Don't worry about feeding to sleep during the night as much as during the day... no way would I attempt to rouse in the middle of the night! You might wake her up enough to want to play
Sleeping through the night is a developmental thing, not something to be forced. It's common for a baby to have a feed then bedtime, the a DF plus up to 2 night feeds before waking for the day until 3-4 months of age, then many drop to one night feed (and keep a DF), going down to just the DF around 6 months... She is doing great now!
Congrats on the new wee person
Follow those instincts and keep BW on your mind and you will do just fine. Many moms find that BW really falls into place well around 3 months of age.