No paint brick - that would be putting an inferior finish over a quality item. Its a nice variegated brick, not the heavy orange type that some people complain about. An argument might be made for applying a masonry stain to tone down a color... not that it needs it... but to put an opaque high maintenance plastic coating (eg acyrlic) isnt a good idea for the long term. I wholeheartedly agree w/above suggestions to remove the fake tudor and rethink those spaces under the eaves and around the windows- even just simple paint in a well-chosen brown that bridges the brick and roof colors would be a big improvement. Sometimes less is more, and I would argue that a handsome house in natural brick or stone and muted nature-colors is often the most beautiful house on the block. Then, you could put your $ and effort into some really lovely landscaping & perhaps pillars but I wouldnt get carried away with reinventing the architecutral elements - its very nice & balanced as is. Is that the view from the side? Looks like the street is off to the left?

some ideas

Find the lime wash material and then ask the material supplier who orders the product in your area in order to find a contractor. The manuf. will surely work with you to find a good contractor. Also might be applied by a mason instead of a painter. https://romabio.com/masonry/limewash/ageless-beauty/

I copied and expanded a piece of your brick, and you can see the pink in it. So your brick is a pink-beige. Sometimes described as beige with red undertones. That's why the yellowish siding doesn't look quite right, and IMO the copper, although very beautiful on its own, doesn't complement the brick. (If you had a sweater the colour of your brick, you wouldn't wear it with an orange/copper shirt, I hope.) Here's an article about working with pink-beige. It's an easy colour to go wrong with. The article talks about interiors but the advice would also apply when you were looking for a siding colour, for example. I wouldn't use sage green with it - the example shown above is a very popular one, often re-posted. The orange brick looks great with sage green. But orange brick is not what you have. I am a fan of almost any brick colour and I'm from Toronto where everything is brick and nobody paints it. But if this were my house I would paint it. Use a coating meant for brick such as Romabio, not a regular exterior paint meant for wood.