Actually I feel sorry for "Rick".
Seems he's been around for many years and single, now over weight and I am guessing as well, still in love with your wife. She says jump, he says how high.
I think she needs to realise that she's leading him on. That being he's the other "husband" that does her errands for her at her will, should her husband let her down. I think this is how you are feeling.
This is why you feel so angry and I don't blame you. He is doing "your" jobs but you are the husband.
1. Stop procrastinating and do the chore "if" you feel that it's fair and reasonable to eliminate him coming over and doing it.
If this doesn't work..
2. Sit down and look at all that you are doing. No offence it sounds as if you are providing all the finances and then some. And is she running short because she's clocking up a spending spree and not watching the dollars, as you state you even have a joint account that she accesses but doesn't contribute to, yet, she earns a living as well or she could be gambling.
There is no room for a 3rd person in a marriage. It seems there may be a power struggle here going on.