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Yes, clearance IS a big problem. It can be squeezed in with a lot of prying and swearing but like I said before, some techs use and air saw and simply cut a section out of the top of the box leaving a bolt in the section cut out so there will be something to hold it in after. Cut a hole large enought for the squirrel cage to fit straight up through it. Use a hot glue gun to seal the cut after the repair. Between the firewall mounting bolt and the screws for the blower motor, that piece will be secure after.
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