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This study was supported by the Grant-in-Aid for Scientific Research (Project No. 18H01931) from JSPS, Ministry of Science and Technology of Taiwan (MOST 107-2628-M-001-002-MY4, MOST 107-2923-M-001-008-MY2 and MOST 108-2639-M-009-001-ASP), and Academia Sinica. Computational resources were supported in part by the National Center for High Performance Computing. QR is supported by Academia Sinica Postdoctoral Research Fellowship. JAT is supported by MOST Independent Postdoc Fellowship (MOST108-2811-M-001-562). QR and JLK would like to thank Prof. Edwin L. Sibert for stimulating discussions and confirmations on the large coupling is independent of choice of coordinate systems.