The home in which you're interested is part of the Sunburst HOA. And, yes, so far as I recollect, they do, in fact, allow pets within the community. Check the CC&Rs to determine how many pets are allowed within each unit.
As for inside laundry and air conditioning, again, check the CC&Rs to determine if this is allowed. If you are the lucky person who purchased this home, your Realtor should be there to help you review and understand the HOA's rules and procedures.
Allison James Estates & Homes