A Swedish pension fund that already is seeking permits for two apartment towers on Seattle’s First Hill has proposed a third.

A subsidiary of the pension fund Alecta has filed preliminary paperwork with city planners for a 25- or 26-story tower with 275 to 300 units at Eighth Avenue and Columbia Street.

The city’s advisory East Design Review Board is tentatively scheduled to consider the project March 6.

Alecta also is seeking permits for a 25-story tower at Terry Avenue and Jefferson Street, and a 23-story tower at Boylston Avenue and Seneca Street.

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