Working during Shiva due to loss for others

A person has a small independent accounting business, and his brother passed away, and now he is sitting Shiva. He has many reports he needs to submit, and if he does not submit them on time, the clients will be fined. Is he allowed to work during his mourning days?

Since if he does not submit the reports on time, others will be fined, this is considered a work of loss prevention, and therefore he can perform this work through others. If it is not possible to do it through others, he can be lenient by himself in private after the first three days. For Ashkenazim, it is permissible to be lenient in private within his home in case of significant loss within the first three days, while for Sephardim, it is forbidden to do it by himself even in case of significant loss within the first three days.

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