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Abstract: A period of rapidly accelerating expansion is expected in the early Universe implemented by a scalar field slowly rolling down along an asymptotically flat potential preferred by the current data. In this paper, we point out that this picture of the cosmic inflation with an asymptotically flat potential could emerge from the Palatini quadratic gravity by adding the matter field in such a way to break the local gauged conformal symmetry in both kinetic and potential terms. The metric Einstein gravity with a positive cosmological constant could be recovered either in the absence of the matter field or by adding the matter field in a way that preserves the local gauged conformal symmetry (refs. 2110.14718, 2003.08516, 1810.05536).