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This is taken from a different question (Issues of Tumah vis a vis non-Jewish human remains)

Original source DO THE REMAINS OF A NON-JEW CONVEY TUMAT MET?

The remains of a non-Jew convey tumas meis if they are touched or carried carried. Although all agree that the halacha is that the remains of a non non-Jew convey tumah through touching and carrying, there is a dispute as as to whether the remains of a non-Jew convey tumas ohel. The Shulchan Aruch Aruch rules that it is proper to be stringent (Yoreh Deah 372:2).

Therefore it seems as though it is proper (according to the Shulchan Aruch) for a Kohen to be stringent and avoid the Taj Mahal as it represents an "ohel" for a corpse. As always, one should consult their LOR.

This is taken from a different question (Issues of Tumah vis a vis non-Jewish human remains)

The remains of a non-Jew convey tumas meis if they are touched or carried. Although all agree that the halacha is that the remains of a non-Jew convey tumah through touching and carrying, there is a dispute as to whether the remains of a non-Jew convey tumas ohel. The Shulchan Aruch rules that it is proper to be stringent (Yoreh Deah 372:2).

Therefore it seems as though it is proper (according to the Shulchan Aruch) for a Kohen to be stringent and avoid the Taj Mahal as it represents an "ohel" for a corpse. As always, one should consult their LOR.

This is taken from a different question (Issues of Tumah vis a vis non-Jewish human remains)

Original source DO THE REMAINS OF A NON-JEW CONVEY TUMAT MET?

The remains of a non-Jew convey tumas meis if they are touched or carried. Although all agree that the halacha is that the remains of a non-Jew convey tumah through touching and carrying, there is a dispute as to whether the remains of a non-Jew convey tumas ohel. The Shulchan Aruch rules that it is proper to be stringent (Yoreh Deah 372:2).

Therefore it seems as though it is proper (according to the Shulchan Aruch) for a Kohen to be stringent and avoid the Taj Mahal as it represents an "ohel" for a corpse. As always, one should consult their LOR.

1
source | link

This is taken from a different question (Issues of Tumah vis a vis non-Jewish human remains)

The remains of a non-Jew convey tumas meis if they are touched or carried. Although all agree that the halacha is that the remains of a non-Jew convey tumah through touching and carrying, there is a dispute as to whether the remains of a non-Jew convey tumas ohel. The Shulchan Aruch rules that it is proper to be stringent (Yoreh Deah 372:2).

Therefore it seems as though it is proper (according to the Shulchan Aruch) for a Kohen to be stringent and avoid the Taj Mahal as it represents an "ohel" for a corpse. As always, one should consult their LOR.