Should I incorporate my real estate career with my interior styling/art brand?

Sure, why not?
Validate the need first by offering your services to other agents and if it's a hit then incorporate it into your real estate business.

Why can't you do both?

It makes complete sense to incorporate it into your real estate business. In fact, it is a great USP that could help differntiate you from other real estate companies.

On the flipside, there's no need for an all or nothing approach. Your interior art and styling skills likely aren't limited to just homes, so you should continue to explore ways in which you can expand these skills into other establishments (offices, bars, shops etc).

I think you can do both.

I feel ya! I'm a multi-passionate solopreneur myself. However, there are some things you may want to ask yourself before combining (or not combining) your businesses:

1) Do they both have the same target market?
2) Is there a need or problem in this market that would need a realtor/interior stylist combo?
3) Would this dilute or enhance your existing brand?

and probably the most important one:
4) What do you ultimately want to be doing in 1-5 years? Realtor or Interior stylist?

I can't say that running two businesses/brands will be easy when it's just you (or with a partner), but it can be done...and sometimes necessary depending on how you answer those questions.

The role of the real estate agent and interior designer may seem worlds apart. However, real estate interior design is increasingly recognised as an essential part of the property market, and a bonus when it comes to hiring new talent. Any interior design experience is likely to be a big plus by property firms – especially when it comes to uniting buyers with their dream home, or businesses with the perfect premises. Combining real estate and interior design can lead to a truly rewarding career.
Across the board, real estate firms are seizing the opportunity to begin innovating to meet the demands of an increasingly personalised, user-focussed world. Using their eye to identify unique features and envision potential shifts in space design, interior professionals can see more options in any given property and present them to discerning clients. And with experience in realising their vision, designers can also go one step further and realise that potential in a property before it goes to market. This process is known as real estate interior design.
As well as having ‘the eye’, interior designers have the contacts and know-how required to turn a property with potential into a desirable home. Where real estate differs, however, is that you are in control of your own schedule. Next, if you find you need a little support getting to grips with the industry, look out for institutions offering real estate qualifications. In some areas, you will also need a real estate license – which will involve studying real estate law.
Besides if you do have any questions give me a call: https://clarity.fm/joy-brotonath