Beginner is not a status, it is a time period. You then become intermediate, and then advanced.
Not true. Beginner is a competency level, not a time period. You can be a beginner/novice all your life if you do not learn.
Some people do not learn and are horrible photographers even after doing it for many years. Look at the garbage on Facebook. If you have owned a smartphone or camera for years and your photos still suck, it is definitely not the equipment.
I don't mean to sound patronising (honest!!), but I have sold myself short a few times thinking a less complicated product is better because I was just starting at something. Auto mode is great on DSLR's - you can then move on from there when you are ready - but you can't move much on from a Point and Shoot.
I agree that the photographer is the key, but if you want to be able to really get into photography, I don't believe a Point and Shoot will ever fully satisfy you.
It's really up to the individual to guess how much long-term interest he/she will have in photography. Like any other activity like playing a musical instrument, snowboarding, cooking, carpentry, etc., there are commitments in both time and money. You can buy better equipment and lessons with money, but you still need to have some ability or skill, and an ability/interest in improving what you do. Some people have this, some do not.
Some people are lousy cooks all their lives whereas others become great cooks. And you can still do this on an inexpensive apartment style electric stove with only a handful of utensils and equipment.
Some people are happy documenting their life with their smartphone cameras. A few want the fancy dSLR and an array of lenses. Others might want some of the telephoto and wide-angle capabilities of a point-and-shoot camera, but easier to pocket than a dSLR.
At some point, the OP's baby will be old enough to be in activities that require a telephoto capability in whatever tool he is using to record the event. It's really up to the OP to decide if now is the time to buy into a dSLR system which will allow for telephoto lenses in the future, something he may not really need in the first few years of his child's life.
If the OP has other photographic interests apart from family life, these should also factor into his decision on equipment purchase, in the short term as well as in the future.