Note:
(a) 飛鳥寺 https://ja.wikipedia.org/wiki/飛鳥寺
(located at 奈良県高市郡明日香村飛鳥 [neighborhood])
(i) 飛鳥寺 is "日本最古の仏教寺院."
(ii) I google and fail to find 飛鳥寺 and 大雄 together. And the preceding Wiki page does not mention 大雄, either.
(b) 大和 Yamato 国 was not Japan, but was in present-day 奈良県. https://ja.wikipedia.org/wiki/大和国
(c) Asuka period 飛鳥時代 https://en.wikipedia.org/wiki/Asuka_period
("from 538 to 710 (or 592 to 645) * * * is named after the Asuka region, about 25 km (16 mi) south of the modern city of Nara. * * * The introduction of Buddhism marked a change in Japanese society. The Asuka period is also distinguished by the change in the name of the country from Wa (倭) to Nihon (日本). * * * Another, long-lasting change was the use of the name Nihon (日本), or sometimes Dai Nippon (大日本, 'Great Japan') in diplomatic documents and chronicles")
is followed by Nara Period 奈良時代 (710 to 794; capital moved from 飛鳥 to 奈良)
(d) 【陕西文物览】宝鸡岐山县凤雏遗址:西周最具有代表性的建筑遗址. 西部网, Mar 9, 2022 ("来源：岐山县融媒体中心") http://m.cnwest.com/sxxw/a/2022/03/09/20365589.html
("凤雏遗址建于西周早期，距今约3100年，废于西周中晚期，据专家考证属宫室建筑，为周王室所有。1976年发现于陕西省宝鸡市岐山县凤雏村（今京当镇贺家村），是周原遗址核心区。 * * * 屋脊、屋檐和屋顶天沟等关键部位用瓦覆盖")
However, I fail to find what this 瓦 looked like.
(e) 郭金山, 古峡邮梦. 阳光出版社, 2017 (page number not shown, but is A PAGE after what the URL will bring you to) https://books.google.com/books?i ... 5%8E%BF&f=false
("瓦当,又称 '勾头,' 是覆于屋顶檐际的一种瓦件,一般为泥质,与简瓦连制在一起,具有蔽护屋檐的作用。 * * * 据记载,我国发现最早的瓦当是陕西省岐山县凤雏遗址出土的西周晚期的半圆瓦当(简称 '半瓦当') ")