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With you being able to cover BOTH mortgages I would say that you have a chance.
Automated underwriting will want to see something good.... like long time with same job or some liquid assets..... but I wouldn't be afraid to apply with this scenario.
If you do NOT qualify.... a good loan officer would be able to 'massage' your file a little and tell you what you need to work on to be approved at a future date.
Please tell me that your credit cards aren't maxed out.