the tax laws say
In order for a taxpayer to claim a reduced maximum exclusion ... the sale or exchange must be by reason of a change in place of employment, health, or unforeseen circumstances.
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the tax laws say
In order for a taxpayer to claim a reduced maximum exclusion ... the sale or exchange must be by reason of a change in place of employment, health, or unforeseen circumstances.
Factors that may be relevant in determining the taxpayer's primary reason for the sale or exchange include (but are not limited to) the extent to which—
(1) The sale or exchange and the circumstances giving rise to the sale or exchange are proximate in time;
(2) The suitability of the property as the taxpayer's principal residence materially changes;
(3) The taxpayer's financial ability to maintain the property is materially impaired;
(4) The taxpayer uses the property as the taxpayer's residence during the period of the taxpayer's ownership of the property;
(5) The circumstances giving rise to the sale or exchange are not reasonably foreseeable when the taxpayer begins using the property as the taxpayer's principal residence; and
(6) The circumstances giving rise to the sale or exchange occur during the period of the taxpayer's ownership and use of the property as the taxpayer's principal residence.
further
(d) Sale or exchange by reason of health—(1) In general. A sale or exchange is by reason of health if the primary reason for the sale or exchange is to obtain, provide, or facilitate the diagnosis, cure, mitigation, or treatment of disease, illness, or injury of a qualified individual described in paragraph (f) of this section, or to obtain or provide medical or personal care for a qualified individual suffering from a disease, illness, or injury. A sale or exchange that is merely beneficial to the general health or well-being of an individual is not a sale or exchange by reason of health.
(2) Physician's recommendation safe harbor. A sale or exchange is deemed to be by reason of health if a physician (as defined in section 213(d)(4)) recommends a change of residence for reasons of health (as defined in paragraph (d)(1) of this section).
I think health is really the primary reason for the move. The baby probably would not be an unforeseen circumstance unless there was no intention of having a baby before buying the house.
Perhaps your doctor could provide a written recommendation to move due to declining health and your long commute. Ideal if the IRS were to question the reduced exclusion. - this is a safe harbor that the IRS would not challenge.
Based on what you provided, you should qualify for the reduced exclusion for one or more reasons. No reason has to be provided when filing your return.