TIGL Ireland Enterprises Ltd (authorized to trade legally as "Trump International Golf Links & Hotel Ireland", among other names) submitted a planning application (ref: 16371) to Clare County Council on 10 May 2016. Its purpose is stated as:
development comprising coastal erosion management works at and adjacent Carrowmore Dunes, White Strand, Doughmore Bay and Trump International Golf Links and Hotel, Doonbeg.
An Environmental Impact Statement (EIS) ("EIS/NIS Coastal Protection-Volume 1 Text & Figures" on linked page), compiled by Creagh House Environmental Ltd on behalf of TIGL Ireland Enterprises Ltd, was included with the application.
On page 3, Section 1.1.1 (Hydrogeology), mention is made of extreme weather in relation to climate change as a motivation for the development:
The evidence for increased storm activity associated with climate change suggests that the erosion will accelerate. If the current rate of erosion is allowed to continue, this will result in a significant loss of habitat, and infrastructure, with linear losses up to 150m being experienced by 2050.
Section 1.2 (The Habitat Erosion Problem) cites rising sea levels and extreme weather as causes of dune erosion:
[...] the more extreme Atlantic storms and sea level rise extant in the west of Ireland, now poses a very serious threat to [...] dune habitats in some areas.
The article also references a Trump Doonbeg-branded brochure included in the appendices of the EIS, A3/13 to be precise:
The planning application was withdrawn on 5 December 2016.
While the precise phrasing of "rising sea levels due to climate change" appears neither in the article nor in the planning application or accompanying EIS mentioned above, the article itself appears to be substantially accurate.
Politico is therefore correct in its assertion that TIGL Ireland Enterprises Ltd cited climate change, extreme weather events and rising sea levels as a justification for building their proposed coastal erosion management structures.