Parsing inflected forms may not always work as expected. If the following does not give the correct word, try Latin Words or Perseus.
cŏ-aedĭfĭco, no perf., ātum, 1, v. a., to build up together, build upon (only in Cic.): Campum Martium, Cic. Att. 13, 33, 4: loci coaedificati an vasti, id. Part. Or. 10, 36: quarta pars (urbis), id. Verr. 2, 4, 53, § 119 Zumpt N. cr. (al. aedificata).